Q. 5

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Found in: Page 990

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

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# A light ray leaves point in FIGURE EX34.5, reflects from the mirror, and reaches point . How far below the top edge does the ray strike the mirror?

Distance from the top edge strike the mirror,

See the step by step solution

## Step1: Law of Reflection

According to the law of reflection,

The incident and reflected rays are parallel to the surface and in the same plane.

The incidence angle is the same as the reflection angle:

## Step2: Find the values

As seen in FIGURE 34.5, a light beam travels from point A to point B after reflecting off a mirror.

The distance between the top of the mirror and the point where the ray strikes the mirror must be calculated.

We can see from the green-shaded triangle that the tangent of angle is

We can see from the yellow shaded triangle that the tangent of angle is

## Step3: Find the distance

, according to the law of reflection, therefore

Rearrange the equations and solve for .

The figure's geometry and the distance from top edge, where the light impacts the mirror

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